Elliptic curve isogeny class 88434.2-g over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-88434.2-g
• Conductor: 88434.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).

Elliptic curves in class 88434.2-g over \(\Q(\sqrt{-1}) \)

Isogeny class 88434.2-g contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
88434.2-g1	\( \bigl[1\) , \( 1\) , \( 1\) , \( -24400 i + 11466\) , \( -225055 i + 1694986\bigr] \)
88434.2-g2	\( \bigl[1\) , \( 1\) , \( 1\) , \( -1525 i + 711\) , \( -3835 i + 26806\bigr] \)
88434.2-g3	\( \bigl[i\) , \( -1\) , \( i\) , \( -250 i + 1477\) , \( 43615 i - 51490\bigr] \)
88434.2-g4	\( \bigl[i\) , \( -1\) , \( i\) , \( -175 i - 8\) , \( -665 i - 130\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph